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A Mathematical Odyssey - Journey from the Real to the Complex (Hardcover, 2014 ed.)
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A Mathematical Odyssey - Journey from the Real to the Complex (Hardcover, 2014 ed.)
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Mathematics is a poem. It is a lucid, sensual, precise exposition
of beautiful ideas directed to specific goals. It is worthwhile to
have as broad a cross-section of mankind as possible be conversant
with what goes on in mathematics. Just as everyone knows that the
Internet is a powerful and important tool for communication, so
everyone should know that the Poincare conjecture gives us
important information about the shape of our universe. Just as
every responsible citizen realizes that the mass-production
automobile was pioneered by Henry Ford, so everyone should know
that the P/NP problem has implications for security and data
manipulation that will affect everyone. This book endeavors to tell
the story of the modern impact of mathematics, of its trials and
triumphs and insights, in language that can be appreciated by a
broad audience. It endeavors to show what mathematics means for our
lives, how it impacts all of us, and what new thoughts it should
cause us to entertain. It introduces new vistas of mathematical
ideas and shares the excitement of new ideas freshly minted. It
discusses the significance and impact of these ideas, and gives
them meaning that will travel well and cause people to reconsider
their place in the universe. Mathematics is one of mankind's oldest
disciplines. Along with philosophy, it has shaped the very modus of
human thought. And it continues to do so. To be unaware of modern
mathematics is to miss out on a large slice of life. It is to be
left out of essential modern developments. We want to address this
point, and do something about it. This is a book to make
mathematics exciting for people of all interests and all walks of
life. Mathematics is exhilarating, it is ennobling, it is
uplifting, and it is fascinating. We want to show people this part
of our world, and to get them to travel new paths.
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